120133002100213 has 2 divisors, whose sum is σ = 120133002100214. Its totient is φ = 120133002100212.

The previous prime is 120133002100169. The next prime is 120133002100333. The reversal of 120133002100213 is 312001200331021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117630553360644 + 2502448739569 = 10845762^2 + 1581913^2 .

It is an emirp because it is prime and its reverse (312001200331021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120133002100213 - 2³³ = 120124412165621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120133000100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60066501050106 + 60066501050107.

It is an arithmetic number, because the mean of its divisors is an integer number (60066501050107).

Almost surely, 2^{120133002100213} is an apocalyptic number.

It is an amenable number.

120133002100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

120133002100213 is an equidigital number, since it uses as much as digits as its factorization.

120133002100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120133002100213 its reverse (312001200331021), we get a palindrome (432134202431234).

The spelling of 120133002100213 in words is "one hundred twenty trillion, one hundred thirty-three billion, two million, one hundred thousand, two hundred thirteen".